The volume of a cone is 125(pi) in3. The height is three time the length of the radius. The height of the cone = 3 × 125π = 375π inches
Given:
Volume of cone = 125π in3
Height = 3 times the radius
To find:
Height of the cone
Height of the cone = 3 × 125π = 375π inches
The given information is the volume of a cone, which is 125π in3, and the height of the cone which is 3 times the radius. To find the height of the cone, we need to multiply the volume by 3. Using the given information, we can calculate the height of the cone by multiplying 125π by 3, which gives us 375π inches as the height of the cone.
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the employees of a company were surveyed on questions regarding their educational background and marital status. of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. the probability that an employee of the company is single or has a college degree is:
The probability that an employee of the company is single or has a college degree is 7/5 or 1.4.
The probability that an employee of the company is single or has a college degree can be calculated using the principle of inclusion-exclusion.
From the given information, we know that there are 600 employees in total, 400 of whom have college degrees and 100 of whom are single. We are also given that 60 employees are both single and college graduates.
To find the probability that an employee is single or has a college degree, we can add the probabilities of being single and having a college degree and then subtract the probability of being both single and a college graduate, since we would be counting those employees twice.
Let's denote the event of an employee being single as S, and the event of an employee having a college degree as C. Using these notations, we can calculate the probability as follows:
P(S or C) = P(S) + P(C) - P(S and C)
P(S or C) = 100/600 + 400/600 - 60/600
P(S or C) = 1/6 + 2/3 - 1/10
P(S or C) = 5/10 + 10/10 - 1/10
P(S or C) = 14/10
P(S or C) = 7/5
Therefore, the probability that an employee of the company is single or has a college degree is 7/5 or 1.4.
In other words, there is a 1.4 probability that a randomly selected employee is either single or has a college degree.
To understand the calculation, we can break it down into individual probabilities. Out of the 600 employees, 100 are single, which gives us a probability of 100/600 or 1/6. Additionally, out of the 600 employees, 400 have college degrees, so the probability of having a college degree is 400/600 or 2/3.
However, if we simply add these probabilities, we would be counting the employees who are both single and college graduates twice. To correct this, we need to subtract the probability of being both single and a college graduate. From the given information, we know that there are 60 employees who fall into this category, which gives us a probability of 60/600 or 1/10.
By applying the principle of inclusion-exclusion, we add the probabilities of being single and having a college degree, and then subtract the probability of being both single and a college graduate to obtain the final probability of 7/5 or 1.4.
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what is the are of triangle ABC with vertices A(-2,1),B(-2,3),C(2,1)?
Answer:
A. 4 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Your triangle has a base of 4 units and a height of 2 units. Its area is ...
A = 1/2(4)(2) = 4 . . . . square units
__
The triangle dimensions are easily found from your diagram by counting grid squares. If you like, you can subtract the x-coordinates of the points on the horizontal line y=1 to find the base length: 2 -(-2) = 4. And you can subtract the y-coordinates of the points on the vertical line x=-2 to find the height: 3 -1 = 2.
what is 3 644 mod 645
The answer to 3 644 mod 645 is 3.
To solve this problem, we need to find the remainder when 3644 is divided by 645.
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The answer to 3 644 mod 645 is 3.
To solve this problem, we need to find the remainder when 3644 is divided by 645.
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Pythagorean theorem: word problems 87U
Jayla takes a piece of plywood that is 36 inches long and uses a table saw to make a 39-inch
cut from corner to opposite corner. What was the width of the piece of plywood?
Answer: 15 inches
Step-by-step explanation:
The pythagorean theorem is a^2 + b^2 = c^2
a is one side of the triangle
b is the other side of the triangle
c is the hypotenuse
In our case, a = 36 inches, b is unknown, and c is 39 inches.
If we use the Pythagorean theorem above (a^2 + b^2 = c^2) we get
36^2 + b^2 = 39^2
b^2 = 39^2 - 36^2
b^2 = 225
b = sqrt(225) = 15 inches
suppose that you have 15 quarters, 10 dimes, 10 nickels, and 10 pennies in your pocket. you reach in and choose a coin at random so that you can give it to your child. what is the expectation? (round your answer to two decimal places.)
If you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.
Total number of quarters = 15 quarters
Total number of dimes = 10 dimes
Total number of nickels = 10 nickels
Total number of pennies = 10 pennies
Total number of coins = 15+10+10+10 = 45
The probability of getting a quarters = 15/45
= 0.33
The probability of getting a dimes = 10/45
= 0.22
The probability of getting a nickel = 10/45
= 0.22
The probability of getting penny = 10/45
= 0.22
Hence, if you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.
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In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
If Laura bikes x miles to and from her friend's house each day, what expression can be used to calculate the total distance she travels in a week?
x / 7
x + 7
7x
7 – x
Answer:
7x
Step-by-step explanation:
Since she travels x miles a day, she will travel 7x miles a week because there are 7 days a week
Answer:
7x
Step-by-step explanation:
Tye key word is EACH and that means to multiply, and when a 7 is touching a variable or in our case x, it means to multiply.
the ratio of diners to waiter sis 4:1 respectively. if the total number of people in the restaurant is 45, how many diners are there?
The total number of diners are 36
What is a Ratio?
Ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
How to determine this
The ratio = 4:1
i.e diners:waiters
If the total number of people = 45
To get the number of diners
= 4/ (4 + 1) * 45
= 4/5 * 45
= 36
Therefore, the number of diners is 36
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A pump empties the pool at the rate
of 1,000 gal every 4 hours. How long
does it take to pump out 20,000
gallons?
Answer:
80 hours.
Step-by-step explanation:
20,000 / 1,000 = 20
4 x 20 = 80
Hope this helps.
A strawberry contains 0.6% of your recommended daily sugar intake. What is this percent expressed as a fraction and a decimal?
Answer:
Fraction: 3/5
Decimal: 0.006
Step-by-step explanation:
Please Help!
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
See attached
Step-by-step explanation:
Refer to attachment
a. Law of Syllogismb. No valid conclusionc. Law of DetachmentAnswer:
see below
Step-by-step explanation:
a. Law of syllogism, the statement is not true.
b. No valid conclusion
c. Law of detachment, the statement or conclusion is true.
Find the first five non-zero terms of the Taylor series for −4sin(x) centered at x= 3
π
. T(x)=c 0
+c 1
(x− 3
π
)+c 2
(x− 3
π
) 2
+c 3
(x− 3
π
)+c 4
(x− 3
π
) 4
+⋯ where c 0
= c 1
= c 2
= c 3
= c 4
=
The first five non-zero terms of the Taylor series for −4sin(x) centered at x= 3π/2 are4 - (x-3π/2)^2 + (x-3π/2)^4/24 - (x-3π/2)^6/720 + (x-3π/2)^8/40320.
Let f(x) = -4sin(x). Taylor's series of f(x) isT(x) = ∑n=0∞f^n(c) * (x-c)^n/n! where f^n(c) denotes the nth derivative of f(x) evaluated at x = c.
To find the first five non-zero terms of the Taylor series for −4sin(x) centered at x= 3π/2, we use the following theorem from Taylor's series: f^n(c) = (-1)^nsin(x) for all n ≥ 0; c = 3π/2. So f(3π/2) = -4sin(3π/2) = 4 and f'(3π/2) = -4cos(3π/2) = 0. Also, f''(3π/2) = 4sin(3π/2) = -4 and f'''(3π/2) = 4cos(3π/2) = 0.
Furthermore, f''''(3π/2) = -4sin(3π/2) = 4. So T(x) becomes T(x) = 4 - (x-3π/2)^2 + (x-3π/2)^4/4! - (x-3π/2)^6/6! + (x-3π/2)^8/8! + ...
This expression simplifies to T(x) = 4 - (x-3π/2)^2 + (x-3π/2)^4/24 - (x-3π/2)^6/720 + (x-3π/2)^8/40320 + ...
Therefore, the first five non-zero terms of the Taylor series for −4sin(x) centered at x= 3π/2 are4 - (x-3π/2)^2 + (x-3π/2)^4/24 - (x-3π/2)^6/720 + (x-3π/2)^8/40320.
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question jordan wondered if the bean burritos at restaurant a tend to be heavier than bean burritos at restaurant b. to investigate, she visited each restaurant at 10 randomly selected times, ordered a bean burrito, and weighed the burrito. the 95% confidence interval for the difference (a - b) in the mean weight of the burrito is 0.06 ounce 0.20 ounce. based on the confidence interval, which conclusion is most appropriate?
The conclusion of question as discuss below.
Define the term mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.
Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.
Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.
However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.
Define the term mean?The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.
Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and
Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.
We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.
It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).
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which expression is equivalent to 16+8 pls and thank you!!\
4(4+4) 4(4+8) 2(14+4) 2(8+4)
Answer:
2(8+4)
Step-by-step explanation:
We have 4 expressions here:
4(4+4):
Since 4*4=16
4(4+4)=16+16
4(4+8):
Since 4*4=16 and 4*8=32
4(4+8)=16+32
2(14+4):
Since 2*14=28 and 2*4=8
2(14+4)=28+8
2(8+4):
Since 2*8=16 and 2*4=8
2(8+4)=16+8
The answer is 2(8+4)!
Hope this helps!
Answer the ScreenShot.
Does anyone know what |x-1|+5=2 is?
Answer:
x=(-2)
Step-by-step explanation:
|x-1|+5-5=2-5
x-1+1 = -3+1
x=(-2)
Hope you got it
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Mabel ate dinner at a restaurant.The bill came to $79.If she left a 20% tip,how much was the tip?
The declaration made indicates that Mabel left a $15.80 gratuity.
How do the percentages translate?Percent, which is a relative number used to denote hundredths of any amount. Since one percent is equal to one tenth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.
To find the amount of the tip that Mabel left, we can multiply the bill amount by the tip percentage, which is 20% or 0.2 in decimal form.
The amount of the tip is:
Tip = Bill Amount x Tip Percentage
Tip = $79 x 0.2
Tip = $15.80
Therefore, the tip that Mabel left was $15.80.
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% of 10 = 10
I need help with this
Answer:
100 percent
Step-by-step explanation:
if x of y is y....
x is always 100!
8.3.23. true or false: if a is a complete upper triangular matrix, then it has an upper triangular eigenvector matrix s.
The answer is: True. When matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S.
An upper triangular matrix is a square matrix in which all entries below the main diagonal are zero. An eigenvector of a matrix A is a nonzero vector x such that Ax is a scalar multiple of x. That is, there exists a scalar λ such that Ax = λx.
For a complete upper triangular matrix, all of its eigenvalues are on the diagonal. To see this, consider the characteristic polynomial of a complete upper triangular matrix:
p(λ) = det(A - λI)
where I is the identity matrix. Since A is upper triangular, its determinant is the product of its diagonal entries, and det(A - λI) is a polynomial of degree n (the size of the matrix) in λ. Therefore, there are n roots of p(λ), which correspond to the eigenvalues of A. Since A is completely upper triangular, all of its eigenvalues are on the diagonal.
Now, let's consider the eigenvector matrix S of A. This is a matrix whose columns are the eigenvectors of A. Since A is upper triangular, any eigenvector of A must also be upper triangular (or zero). Therefore, the eigenvector matrix S must also be upper triangular. In summary, if a is a complete upper triangular matrix, then all of its eigenvalues are on the diagonal, and its eigenvector matrix S is upper triangular. Therefore, the statement is true.
"If A is a complete upper triangular matrix, then it has an upper triangular eigenvector matrix S." When a matrix A is upper triangular, its eigenvalues are located on its main diagonal. If you find the eigenvectors corresponding to each eigenvalue, you can construct an eigenvector matrix S. Since A is upper triangular, the eigenvector matrix S will also be upper triangular.
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The sum of two numbers is 42. The larger number is 6 more than the smaller number. What are the numbers?
Answer:
the smaller number is 18 and the larger number is 24
Y = x - 7
5y+3x= -13
Solve in equal value method
Step by step
Solve in equal value Method step by step solution is given below.
What is equal Value?Equal value is a concept that states all people, regardless of race, gender, ethnicity, sexual orientation, or any other defining characteristic, are of equal worth and should be treated equally. This concept is fundamental to democracy and is enshrined in the Universal Declaration of Human Rights. Equal value is also a foundation of economic theory, as it states that everyone should be able to access and benefit from economic resources, whatever their background.
Step 1: Isolate the 5y term on one side:
5y = -13-3x
Step 2: Divide both sides by 5:
y = (-13-3x)/5
Step 3: Replace the y with its expression:
x - 7 = (-13-3x)/5
Step 4: Distribute the -7 over the denominator of the right side:
x - 7 = (-13-3x-35)/5
Step 5: Add 7 to both sides:
x = (-13-3x-35+35)/5
Step 6: Simplify the expression:
x = (-13-3x)/5
Step 7: Solve for x:
x = -26/8
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Suppose x = 1, y = -1, and z = 1. What is the output of the following statement? (Please indent the statement correctly first.)
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
A. x > 0 and y > 0;
B. x < 0 and z > 0;
C. x < 0 and z < 0;
D. no output
Based on the evaluation of the conditions, the output "x < 0 and z > 0" will be printed. Therefore, the correct answer is B. x < 0 and z > 0.
The correct indentation of the statement would be as follows:
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
Given that x = 1, y = -1, and z = 1, let's evaluate the conditions:
The first if statement checks if x > 0, which is true since x = 1.
Since the condition in the first if statement is true, we move to the inner if statement, which checks if y > 0. However, y = -1, so this condition is false.
The inner if statement is followed by an else if statement that checks if z > 0. Since z = 1, this condition is true.
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Para comprar un edificio aportan Luis s/. 15489 mas que David y s/. 43968 menos que Cristian si David aportó s/. 189576 ¿cuánto pagaron por el edificio
The total amount paid for the building is the sum of the amounts contributed by all three people: Total amount = D + L + C= 189576 + (189576 + 15489) + 249033= s/. 703674 , the total amount paid for the building is s/. 703674
In this problem, the amounts contributed by Luis and Cristian are unknown, and we have to find them using the given information. We also need to find out the total amount paid for the building. Let us use algebraic expressions to represent the unknown amounts contributed by Luis and Cristian.We are given the following information: - Luis contributed s/. 15489 more than David. - Luis contributed s/. 43968 less than Cristian. - David contributed s/. 189576. Let us represent the unknown amounts contributed by Luis and Cristian as L and C, respectively. Using the given information, we can set up the following equations: L = D + 15489 C = L + 43968 = D + 15489 + 43968 (since L = D + 15489) = D + 59457Now, we can substitute the value of D in the second equation to get: C = 189576 + 59457 = 249033. the total amount paid for the building is s/. 703674
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Consider this equation. |y 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to –(y 6) = 2 will be also be a solution to the given absolute value equation. The solution(s) will be the number(s) on the number line 2 units away from –6. The value of y must be positive since the variable is inside absolute value signs.
Answer:
2,3,4
Step-by-step explanation: i just got that answer
The Answers are 2,3, and 4.
2. There will be two solutions.
3. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.
4. The solution(s) will be the number(s) on the number line 2 units away from –6.
PLEASE HELPPPP I NEED THIS FASTTTTT
Answer:
\(there \: are \: 8 \: values \\ = \frac{8}{17} \times 100\% \\ = 47\%\)
In regression analysis, if the dependent variable is measured in dollars, the independent variable _____.
In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.
What are dependent and independent variables in regression analysis?The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".The variable that is used to explain or predict the response variable is called the explanatory variable. It is also sometimes called the independent variable because it is independent of the other variable.To learn more about Dependent and Independent Variable, refer to:
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A survey was given to a random sample of 400 residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. Of those surveyed, 168 respondents said they were in favor of the plan. Determine a 95% confidence interval for the proportion of people who favor the tax plan, rounding values to the nearest thousandth.
how many buses do you need for 700 people if each bus holds 125 people
Chandler's little sister got a new playhouse shaped like a rectangular prism for her birthday, and she is obsessed! She asks Chandler to play with her at least twice per day, which he wouldn't mind as much if the playhouse weren't so small. The playhouse is only 2.5 meters long, 2.5 meters wide, and 2 meters tall. What is the playhouse's volume? Write your answer as a whole number or decimal. Do not round. cubic meters
Therefore , the solution of the given problem of volume comes out to be the playhouse's volume is 12.5 cubic metres as a result.
What is volume, exactly?The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Liter and in3 are these signs for cubic measurements. Nonetheless, it is possible to determine an object's measures by estimating its bulk. Usually, the item's weight is transformed into mass quantities like grammes and kilogrammes.
Here,
We must multiply the rectangular prism's length, breadth, and height collectively in order to determine its volume.
=> Capacity is calculated using the formula LWH.
=> Volume = 2.5*2.5 *2 metres.
=> Dimensions: 12.5 cubic metres
The playhouse's volume is 12.5 cubic metres as a result.
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The 6 elephants at the zoo have a combined weight of 11,894 pounds. About how much does each elephant weigh?
Answer:
1982.33 pounds
Step-by-step explanation:
If they all weigh the same amount then you can figure it out by division.
11894/6=1982.33
Answer:
TO find out how much each elephant weighs you simply have to do 11, 894 divided by 6. Since the answer is a decimal (1982.33333333), I would just round it to the nearest tenth as it dosent specify where we have to round it to. SO, 1982.33333333 rounded to the nearest tenth is 1982.3
Step-by-step explanation:
I hope this helps, if you are having a tough time with math use:
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and other free sites!